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Past Exam for MTH 121 - Calc with Analytic Geom I with Bannon at Essex County College (ESSEX)

Exam Information

Material Type:Exam 1
Professor:Bannon
Class:MTH 121 - Calc with Analytic Geom I
Subject:Mathematics
University:Essex County College
Term:Summer I 2005
Keywords:
  • Differentiate
  • Final Answers
  • Time Period
  • Horizontal Tangent
  • Discontinuous
  • Differentiation
  • Differentiable
  • Mathematics
  • Average Velocity
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Sample Document Text

MTH 121 - Summer - 2005 Essex County College - Division of Mathematics Test # 11 - Created May 31, 2005 Name: Signature: Show all work clearly and in order, and box your final answers. Justify your answers alge- braically whenever possible. You have at most 110 minutes2 to take this 100 point exam. No cellular phones allowed. 1. For what values of x does the graph of f (x) = x + 2sinx have a horizontal tangent? 9 points 2. Find fprime (a) using the definition. 9 points f (z) = 2z + 1z + 3 1This document was prepared by Ron Bannon using LATEX2?. 28:30 a.m. until 10:20 a.m.. 1 3. If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet after t seconds is given by h(t) = 50t?16t2. (a) Find the average velocity for the time period beginning at t = 3 and lasting i. 1 second 2 points ii. 0.1 second 2 points iii. 0.01 second 2 points (b) Predict the instantaneous velocity when t = 3. 1 points 4. Find the number(s) at which f is discontinuous. At which of these number(s) is...

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